Naslov
On Killing Magnetic Curves in SL(2, R) Geometry

Autori
Erjavec, Zlatko

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Abstracts of the 21st Scientific-Professional Colloquium on Geometry and Graphics / Došlić, T. ; Jurkin, E. - Zagreb : Hrvatsko društvo za geometriju i grafiku, 2019, 10-10

Skup
21st Scientific-Professional Colloquium on Geometry and Graphics

Mjesto i datum
Sisak, Hrvatska, 01.09.2019. - 05.09.2019

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
SL(2, R) geometry, Killing vector field, magnetic curve

Sažetak
Magnetic curves represent trajectories of charged particles moving on a Riemannian manifold under the action of a magnetic field. A vector field X is a Killing vector field if the Lie derivative with respect to X of the ambient space metric g vanishes. The Killing vector field can be interpreted as an infinitesimal generator of isometry on the manifold in the sense that the flow generated by this field is a continuous isometry of the manifold. The trajectories corresponding to the Killing magnetic fields are called the Killing magnetic curves. We consider the Killing magnetic curves in SL(2, R) space.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA